What is 34/74 Divided By 2/6

Solving $\frac{34}{74}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{74} \div \frac{2}{6} = \frac{34}{74} \times \frac{6}{2}$

• Multiply the Numerators: $34 \times 6 = 204$
• Multiply the Denominators: $74 \times 2 = 148$
• Form the New Fraction: $\frac{34}{74} \times \frac{2}{6} = \frac{204}{148}$

Let's Simplify $\frac{204}{148}$

• Find the Greatest Common Divisor (GCD) of $204$ and $148$. The GCD of $204$ and $148$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{204 \div 4}{148 \div 4} = \frac{51}{37}$

Answer $\frac{34}{74}\div\frac{2}{6} = \frac{51}{37}$

The following animation demonstrates the divide-by,